New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations

Finite difference method is commonly used to solve partial differential equations (PDEs) which arise from fluid mechanics and thermodynamics problem. However, the discretization of these PDEs oftenly lead to large sparse linear systems which require large amount of execution times to solve. The deve...

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Main Author:	Foo, Kai Pin
Format:	Thesis
Language:	English
Published:	2011
Subjects:	QA1-939 Mathematics
Online Access:	http://eprints.usm.my/43282/1/FOO%20KAI%20PIN.pdf
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id	my-usm-ep.43282
record_format	uketd_dc
spelling	my-usm-ep.432822019-04-12T05:26:26Z New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations 2011-12 Foo, Kai Pin QA1-939 Mathematics Finite difference method is commonly used to solve partial differential equations (PDEs) which arise from fluid mechanics and thermodynamics problem. However, the discretization of these PDEs oftenly lead to large sparse linear systems which require large amount of execution times to solve. The development in accelerated iterative techniques and parallel computing technologies can be utilized to surmount this problem. Point iterative schemes which are based on the standard five point discretization and the rotated five point discretization are commonly used to solve the Poisson equation. In addition, block or group iterative schemes where the mesh points are grouped into block have been shown to reduce the number of iterations and execution timings because the solution at the mesh points can be updated in groups or blocks instead of pointwise. 2011-12 Thesis http://eprints.usm.my/43282/ http://eprints.usm.my/43282/1/FOO%20KAI%20PIN.pdf application/pdf en public masters Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1-939 Mathematics
spellingShingle	QA1-939 Mathematics Foo, Kai Pin New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations
description	Finite difference method is commonly used to solve partial differential equations (PDEs) which arise from fluid mechanics and thermodynamics problem. However, the discretization of these PDEs oftenly lead to large sparse linear systems which require large amount of execution times to solve. The development in accelerated iterative techniques and parallel computing technologies can be utilized to surmount this problem. Point iterative schemes which are based on the standard five point discretization and the rotated five point discretization are commonly used to solve the Poisson equation. In addition, block or group iterative schemes where the mesh points are grouped into block have been shown to reduce the number of iterations and execution timings because the solution at the mesh points can be updated in groups or blocks instead of pointwise.
format	Thesis
qualification_level	Master's degree
author	Foo, Kai Pin
author_facet	Foo, Kai Pin
author_sort	Foo, Kai Pin
title	New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations
title_short	New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations
title_full	New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations
title_fullStr	New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations
title_full_unstemmed	New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations
title_sort	new parallel group accelerated overrelaxation algorithms for the solution of 2-d poisson and diffusion equations
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2011
url	http://eprints.usm.my/43282/1/FOO%20KAI%20PIN.pdf
_version_	1747821193180741632

New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations

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